| Heat Conduction and Characteristic Size of Fractal Porous Media |
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| 作者姓名： | 王唯威 淮秀兰 陶毓伽 |
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| 作者单位： | [1]Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100080 [2]Graduate School of Chinese Academy of Sciences, Beijing 100049 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No 50376063, and the Institute of Engineering Thermophysics, Chinese Academy of Sciences. |
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| 摘 要： | Based on fractal theory, two types of random Sierpinski carpets （RSCs） and their periodic structures are generated to model the structures of natural porous media, and the heat conduction in these structures is simulated by the finite volume method. The calculated results indicate that in a certain range of length scales, the size and spatial arrangement of pores have significant influence on the effective thermal conductivity, and the heat conduction presents the aeolotropic characteristic. Above the length scale, however, the influence of size and spatial arrangement of pores on the effective thermal conductivity reduces gradually with the increasing characteristic size of porous media, the aeolotropic characteristic is weakened gradually. It is concluded that the periodicity in structures of porous media is not equal to the periodicity in heat conduction.
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| 关 键 词： | 热传导 特性尺寸 分形多孔渗水媒介 周期性 |
| 收稿时间： | 2006-01-24 |
| 修稿时间： | 2006-01-24 |
Heat Conduction and Characteristic Size of Fractal Porous Media |
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| WANG Wei-Wei,HUAI Xiu-Lan,TAO Yu-Jia.Heat Conduction and Characteristic Size of Fractal Porous Media[J].Chinese Physics Letters,2006,23(6):1511-1514. |
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| Authors: | WANG Wei-Wei HUAI Xiu-Lan TAO Yu-Jia |
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| Institution: | Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100080
Graduate School of Chinese Academy of Sciences, Beijing 100049 |
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| Abstract: | Based on fractal theory, two types of random Sierpinski carpets (RSCs) and their periodic structures are generated to model the structures of natural porous media, and the heat conduction in these structures is simulated by the finite volume method. The calculated results indicate that in a certain range of length scales, the size and spatial arrangement of pores have significant influence on the effective thermal conductivity, and the heat conduction presents the aeolotropic characteristic. Above the length scale, however, the influence of size and spatial arrangement of pores on the effective thermal conductivity reduces gradually with the increasing characteristic size of porous media, the aeolotropic characteristic is weakened gradually. It is concluded that the periodicity in structures of porous media is not equal to the periodicity in heat conduction. |
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| Keywords: | 44 10 +i 44 30 +v |
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